Make Jenkins available under port 80/443

To fully integrate Jenkins (running on orxonox.net:8080) in our website, it would be good if we can make it available on port 80/443. I don't know what works best, but in general I'd like to have one of these options:

orxonox.net/build

orxonox.net/jenkins

build.orxonox.net

jenkins.orxonox.net

Note: I don't want a browser forwarding to orxonox.net:8080. It should be fully accessible under the standard http(s) port because in some places (e.g. here at work) port 8080 is blocked.